Answer:
Eight cups of yogurt will be used.
Step-by-step explanation:
Let cups of yogurt used in 12 cups of smoothies be x
Cups of juice used in 12 cups of smoothies = 12- x
The ratio of yogurt to juice is 2 cups to 1 cup that is:
\(\frac{Yogurt}{Juice}=\frac{2}{1}\)
Ratio will be maintained through out 12 cups of smoothies:
\(\frac{Yogurt}{Juice}=\frac{2}{1}=\frac{x}{12-x}\)
\(2(12-x)=1(x)\)
\(24-2x=x\)
\(24=3x\)
x = 8
Eight cups of yogurt will be used.
